Elliptic boundary value problems for the stationary vacuum spacetimes
Differential Geometry
2019-07-12 v3 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
We develop a general method of proving the ellipticity of boundary value problems for the stationary vacuum space time, by showing that the stationary vacuum field equations are elliptic subjected to a geometrically natural collection of boundary conditions in the projection formalism. Using this we prove the manifold theorem for the moduli space of stationary vacuum spacetimes.
Cite
@article{arxiv.1802.04157,
title = {Elliptic boundary value problems for the stationary vacuum spacetimes},
author = {Zhongshan An},
journal= {arXiv preprint arXiv:1802.04157},
year = {2019}
}
Comments
33 pages